The 17-year-old has been in fine form during Manchester United’s tour of Australia to impress the Red Devils boss ahead of the new campaign.
Greenwood scored in his first senior goal in Manchester United’s 4-0 victory over Leeds United in their per-season friendly in Perth on Wednesday.
The Manchester United youth product is viewed as a big prospect at the 20-time English champions following his impressive performances at youth level.
Speaking at his post-match media conference in Perth after their friendly win, Solskjaer said that Greenwood is in contention for a first-team spot for their clash against Chelsea FC at Old Trafford on 11 August.
Asked if Greenwood would be in contention for United’s first game of the season against Chelsea next month, Solskjaer said: “He has got a chance to start that one, definitely.
“He is more than capable and will always be there in and around the box creating chances.
“I won’t say that it is not a possibility, there’s a good possibility if he keeps going as he is. It’s difficult to keep players out that perform well.”
Solskjaer handed the teenager his first Manchester United appearance in their 3-1 victory over Ligue 1 champions Paris Saint-Germain in the second leg of their Champions League round of 16 clash in March.
Four days later, Greenwood made his first Premier League appearance as a late substitute in Manchester United’s 2-0 loss to their bitter rivals Arsenal at The Emirates.
Greenwood made his full Premier League debut in a 2-0 loss to Cardiff City in their final game of the season at Old Trafford as Manchester United ended a mixed season on a sour note.
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